{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import time"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Sequential Memristor Crossbar for Neuromorphic Pattern Recognition"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 132,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Eq.(5)\n",
    "# V(t): memristor's applied voltage\n",
    "# I(t): memristor's current\n",
    "# I(t) = a1 * x(t) * sinh(b * V(t)) (V(t) >= 0) or I(t) = a2 * x(t) * sinh(b * V(t)) (V(t) < 0)\n",
    "\n",
    "class Memristor:\n",
    "    def __init__(self, Vp=1.5, Vn=0.7, Ap=0.032, An=0.001, xp=0.1, xn=0.2, ap=6, an=4, a1=4*10**(-4), a2=3*10**(-4), b=1, x0=0.1):\n",
    "        # vg_func: voltage generating function\n",
    "        # tr: time range, 1*2 matrix\n",
    "        self.a = [a1, a2]\n",
    "        self.b = b\n",
    "        self.A = [Ap, An]\n",
    "        self.gV = [Vp, Vn]\n",
    "        self.aa = [ap, an]\n",
    "        self.xx = [xp, xn]\n",
    "    def current(self, x, V):\n",
    "        # Eq(5)\n",
    "        if V < 0:\n",
    "            return self.a[1] * x * np.sinh(self.b * V)\n",
    "        else:\n",
    "            return self.a[0] * x * np.sinh(self.b * V)\n",
    "    # Eq(7)\n",
    "    def g1(self, V):\n",
    "        return self.A[0] * (np.exp(V) - np.exp(self.gV[0]))\n",
    "    def g2(self, V):\n",
    "        return -self.A[1] * (np.exp(-V) - np.exp(self.gV[1]))\n",
    "    # Eq(8)\n",
    "    def f1(self, x):\n",
    "        if x < self.xx[0]:\n",
    "            return 1\n",
    "        else:\n",
    "            xp = self.xx[0]\n",
    "            return np.exp(-self.aa[0] * (x - xp)) * ((xp - x)/(1 - xp) + 1)\n",
    "    def f2(self, x):\n",
    "        xn = self.xx[1]\n",
    "        if x > (1 - xn):\n",
    "            return 1\n",
    "        else:\n",
    "            return np.exp(self.aa[1] * (x + xn - 1)) * (x/(1 - xn))\n",
    "    def update_x(self, x, V, dt):\n",
    "        # Eq(5)\n",
    "        # calculate g(V(t))\n",
    "        if V > self.gV[0]:\n",
    "            g = self.g1(V)\n",
    "        elif V < -self.gV[1]:\n",
    "            g = self.g2(V)\n",
    "        else:\n",
    "            g = 0\n",
    "        # calculate f(x(t))\n",
    "        if V > 0:\n",
    "            f = self.f1(x)\n",
    "        else: # V == 0 ??\n",
    "            f = self.f2(x)\n",
    "        dx = g * f * dt\n",
    "        return x + dx\n",
    "    def run_memristor(self, x, V, dt):\n",
    "        I = self.current(x, V)\n",
    "        x = self.update_x(x, V, dt)\n",
    "        return (I, x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 133,
   "metadata": {},
   "outputs": [],
   "source": [
    "def generateV(t):\n",
    "    return 5 * np.sin(1/10 * t)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 134,
   "metadata": {},
   "outputs": [],
   "source": [
    "# run memristor\n",
    "dev1 = Memristor()\n",
    "dt = 0.1\n",
    "T = np.arange(0,100,dt)\n",
    "V = [generateV(T[0])]\n",
    "x0 = 0.1\n",
    "x = [x0]\n",
    "I = []\n",
    "for n,t in enumerate(T):\n",
    "    tempI, tempX = dev1.run_memristor(x[-1], V[-1], dt)\n",
    "    I.append(tempI)\n",
    "    V.append(generateV(t))\n",
    "    x.append(tempX)\n",
    "x = x[1:]; V = V[1:]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 135,
   "metadata": {},
   "outputs": [
    {
     "data": {
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i60hASJiWk6e1RQf17LiBSgjxKwdntY3Xd0d10VP/3qibhqZreJfQnNryF6H9ryKA0+LrU9waMpF0VFOVSUwiAQCOZ8eBMj396Sad36udRndv6zqOX/jReV319qoi/fKtNXrzeyMV5mGxXKAp7S0p1xMfb9BZXdvo4j7tXcfxC98d1UWvL9+mh99eq3/98ExFhIXWOnf+hFIJQIP5+lSzhk4kNdU6SQ0psQAAoe13761TVY3VLy/t5TqK32gRHaEHL+mpH726Uq8uKdDYYemuIwFB7fEPv1ZpRbV+fXkvrnhWJzoiTL+6rJfunLpMUxbm6bYzO7mOFLIolQA0yLHTSY3RkDLpodmrNX1RvqwPz6tjGgkA4I1FW/bq7VVF+uE5WUpvHes6jl+5sn9HvbI4X3/8cL0u7tNereJYtBtoCl9uK9arSwt028hOymrbwnUcv3J+r3Y6u1uynvx4gy4/o4Patoh2HSkkUSoBOCFfTwk1uEzyUXklSWHG6KZhafrtVSwmCgBouKrqGv367bVKSYzRd0dluY7jd4wx+p8r++iSv8zV/370tR5l0W7A52pqrH799lq1jovSved1dR3H7xhj9PAVvXXhn7/QY++v1xM39HcdKSRRKgE4Ll+VOw2dDpq9olA/+edK+WKpJBbZBgA01iuL87V+xyE9O26gYiLDXMfxS93bt9C4YemalpOnSSMy1bUdUxSAL725olAr8ov1+HX91CI6tBfnPpFObeJ021md9Nc5mzVpRKb6pXLxgOZGqQTgWx6avVrTcvIb9RhG0rjs9JNOCM1eUahH3lmr/aWNX6MpNsKj313TjyIJANBoB45U6omPN2hEl9YsinsK957bVW8uL9Tv31+vyZOGuI4DBI3D5VV67IP16p+WqGsHprqO49e+N6qLZi0p0KPvrtPMO7NZd6qZUSoB+IavFuI+1QLYs1cU6sE3V+twRXWjtiOxThIAwPf+OmezDhyp1IOX9uSHk1NoHR+le87J0mPvr9f8TXs0MquN60hAUPj73K3afahcz40fJA9XWDypFtER+tH53fTL2Wv0ybpdOr9XO9eRQgqlEgBJjT/drTkX3zZGGjfs5FNQAACcjsLiI5o8f6tx6EMIAAAgAElEQVSuHpCi3h0TXMcJCJNGZGrqwjz99t11+tcPzlQYPwADjbL7ULme/2KzLu7TXoMyWrmOExBuHJKmF+dv1e/fX6dR3ZMVEeZxHSlkUCoBIW72ikL94o0vdaQRixmNb8Bpbr5YL+lUE1AAADTWEx9tkCTdf0F3x0kCR3REmH52cQ/9cMYKvbF8m64fnOY6EhDQ/vLvjSqvqtFPLuR9qKEiwjz6xcU9dceUpZq5OF8Thme6jhQyKJWAEOaLtZNOVSiNe2Gh5m/ed9qPP7JLkqbfMfy0vx4AgIb6quig3lixTXee1VkpiTGu4wSUy/t10OR5W/W/H32tS/t1UGwkP2YAp2PL7hLNWJyvm4amq3NyvOs4AeW8nm01rFOS/vzJRl05IEUtWdy8WTATBoSoxhZKrWIj9OSY/icslGavKFTXB9497UIpNsKjJ8f0p1ACADSbxz5Yr5bREfreqCzXUQKOMUYPXdpTOw+W66UFua7jAAHr8Q+/VlS4Rz88t6vrKAHHGKMHL+2pfYcr9LfPN7uOEzL4FQIQghpTKJ1qMklq3HQSC28DAFyYt3GPvtiwWw9d2lMJsfx2+3QMzkzSOT3a6m+fb9G4YRlKiGE/At5Ylrdf76/ZoR+f303JLaJcxwlI/VITdVm/Dpo8L1e3jOykNvHsx6bGpBIQYpqqUJq9olADfvORMn9+etNJ47PTlfvYpVrxqwsolAAAzcpaq8c/XK+UxBhNGJ7hOk5Au/+CbjpwpFJ/n7vFdRQg4Dz+4Xolt4jS7Wd1ch0loN13fjeVV1Xr2c+YVmoOlEpACGmqQumh2av1o1dXan9ppdePm5IYc9LT6AAAaGr/XrdLq7Yd0A/OyVJUeJjrOAGtd8cEXVq3vtLeknLXcYCAsWDTHuVs2ad7RnVhTbJG6pIcr2sHpmraojxtP3DEdZygR6kEhIjZKwqbpFAa98JCrx83MszoyTH9lfvYpZr/83OYTAIAOGOt1RMfb1B6UqyuHZTqOk5QuO+8bjpSWa2/zmFKAGiIo+9DHRKidePQdNdxgsIPz+0qa63+79NNrqMEPUolIEQ8+Obq0/q6ExVKD81efVqnuo3skqQNj15CkQQA8Asfrt2hr7Yf1L3ndlVEGIfGvpDVNl7XDEzVlBymBICG+GLjHi3N2697RmcpOoJpSV9IS4rVjUPSNWtJgfL3lrqOE9T4lxMIcrNXFKrnL9/X4Ypqr74uLjLshKelnf/EnNOeTuJqbgAAf1FTY/Xnjzeqc3Kcruzf0XWcoHIvUwJAgxydUkpJjNENg9Ncxwkq3z8nS2Eeoyf/vcF1lKBGqQQEsdkrCvXjWSt1pLLGq68bn52utb+56FvTRLNXFKrrA+9q467DXj0e00kAAH/0r9Xb9fXOQ7r33K4KZ0rJp9KSYnXT0NopgW37mRIATuTT9bu0qqBYPzw3S5HhvA/5UruW0bp5RKZmryjUpl2HXMcJWrxqgSD24JurVWO9+5qYCM8JT3f70asr5U0/dXTaiekkAIC/qa6xevKTDerWLl6X92NKqSl8d1QXeYxhbSXgBOqv6XbNQNZ0awp3n91F0RFhepqpySZDqQQEqdkrCr0+5U2Sfn9Nv2/d5u1i3BEe6ckx/Y877QQAgD94a2Whtuw+rPvO6yaPx7iOE5Q6JMTo+sGp+ufSbaytBBzHR1/t1Nqig/oha7o1maS4SI3PztDbq4q0dY93Z1ugYXjlAkHqdBbmHp+d/q0S6Pwn5ni1GPfILkna+LtLKZMAAH6rusbq6U83qWeHlrqwd3vXcYLad0d1UY21+tvnW1xHAfyKtVZPfrJRndvE6SrWdGtSt5/VSRFhHj37GdNKTYFSCQhCD81e7fWU0vFOezv/iTkNXj/JI3GqGwAgILy/Zru27Dms74/OYkqpiaW2itW1A1P1yuJ87TpY5joO4Dc++3qX1m0/qO+NzmJNtybWtkW0bhqarjdXFKpgH2u8+RqvXiDIzF5R6PWV2aRvn/bmTaE0skuStjzGdBIAwP9Za/XMZ5vVOTlOF/VhSqk5fG90F1XXWD3/BdNKgFT7PvT0p5uUkhjDlSebyd1n163x9jlrvPkapRIQZHxx2ps3hdL47HSmkwAAAePodMB3z+6iMKaUmkVG6zhdeUZHTVuUpz0l5a7jAM7lbNmn5fnFuvvszqyl1EzaJ0Tr+sGpeo013nyOVzAQRE5nce5jT3traKEUGWb05Jj+x71SHAAA/qj+dADTtc3rnnOyVF5VoxfmMq0EPPPZJrWJj9L1g9NcRwkprPHWNCiVgCDyyDtrvf6a+qe9NbRQ6to2ThsevYQDcgBAQFm4ZS/TAY50SY7XZf06aurCPO0/XOE6DuDMyoJizdu0R3ec1UnREWGu44SU1FaxumZgimYszteuQ6zx5iv8awoEkf2llV7df2SXpG+KoXEvLGxwofTxj0edTjwAAJx69rPNTAc4dM/oLiqtqNbUnDzXUQBnnvlskxJiIjQuO8N1lJD0vVFZqqyu0T/mbnUdJWhQKgFBYvaKQq/uH+HRN2shPTR7teZv3nfKr6FQAgAEKqYD3OvRvqVGd0/WSwtydcTL0/WBYPD1jkP6+KudmjQiU/FR4a7jhKTMNnG6tF9HTV+Ur4Nl3v1CHsdHqQQECW8X6H78+v6SGn61OAolAEAge/pTpgP8wd1nd9G+wxV6bVmB6yhAs3t2zibFRobplpGZrqOEtLu+01kl5VWafhpXzMa3USoBQaD4SKVXC3THRHi+Oe3tx6+uPOX9KZQAAIHs6x2H9Mm6nbplJNMBrg3tlKQB6Yl6fu4WVVXXuI4DNJu8vYf1zqoijc/OUGJspOs4Ia1PSoLOzGqjyfO3qryKqcnGolQCgsD2Yu8ui3l0ce7zn5ijUx3OhXsMhRIAIKA9/8UWxUSEadKITNdRQp4xRnef3UUF+47ovTU7XMcBms0Lc7co3OPR7Wd2ch0Fqp2a3H2o3OslRPBtlEpAEKiqsQ2+79EppYYuzP2/15/RmGgAADi140CZ3l5VqDFD0pgO8BPn92ynLslxem7OZlnb8GMYIFDtO1yhfy7dpqsHpKhty2jXcSBpZFZr9e7YUn/7YotqvPhZCt9GqQSEmN9f00+zVxQ2aGHu8dnp35wmBwBAIHppQa6qa6xuHcl0gL/weIzu+k4XfbX9oOZt2uM6DtDkpuXkqbyqRrefxfuQvzDG6K6zu2jL7sP6eN1O13ECGqUSEOC8Hdm8akBKg9ZRGtklSb+9qu/pxgIAwLmS8ipNX5Sni/t0UHrrWNdxUM+VAzqqXcsoPff5ZtdRgCZVVlmtlxfk6pwebdW1XQvXcVDPJX3aKy0pRs99ztRkY1AqAQHukXfWNvi+iTERGvfCwlOuo9S1bZym3zG8ccEAAHDs1SUFOlRWxXSAH4oKD9OtIztp/qa9Wr3tgOs4QJN5c0Wh9h6u0B1ndXYdBccID/PojrM6a0V+sZbk7ncdJ2D5TalkjEkzxnxmjFlnjFlrjLnXdSYgEOwvrWzwfS87o8MpT3tjYW4ACC3BegxWVV2jyfO2amhmkgakt3IdB8cxdli6WkSH67kvmFZCcKqpsXph7hb1SWmp7M5JruPgOK4flKakuEj9janJ0+Y3pZKkKkn3W2t7SsqWdI8xppfjTEBQeSUn/5T3YWFuAAg5QXkM9t6aHSosPqI7v8N0gL9qER2hscPS9cGaHdq2v9R1HMDnPl2/S1t2H9YdZ3WWMcZ1HBxHTGSYbh6eqX+v36VNuw65jhOQ/KZUstZut9Yur/v/Q5LWSWKFYMCHTnXa28guSSzMDQAhJhiPway1ev6LzeqcHKdzerR1HQcncfPwTEnSywtyneYAmsLzc7coJTFGl/Tt4DoKTmJ8droiwz2aPD/XdZSAZPxxQSpjTKakLyT1sdYePOZzd0q6U5LatWs3aObMmc2eD7VKSkoUHx/vOkZIKz5SqYJ9pWoXI+080rjHMjLqk9LSN8FCGN8X/oPnwn805rkYPXr0MmvtYB9Hwgn4wzGYL7531+2t1h+WlGlS70iNSovwUbLg5A/vlX9dWaYv91TriVGxigkP/mkOf9jnocTV/t5SXK3f5JTpph6RujAzdN6HAvX1PXlNuXKKqvTEqFjFRwbO+1BT7u+GHoOFN8nWG8EYEy/pdUk/OvZgRpKstc9Lel6SBg8ebEeNGtW8AfGNOXPmiP3v1oDffKT9peG6v2+V/rS6cd/OT47pr1FMKTUa3xf+g+fCf/BcBAZ/OQbzxevl5RcXq018jX5+4zmKjgjzTbAg5Q/fn4ldinXVM/O1IyZTt4wM/kXV/WGfhxJX+/ufryxXi+jdevCm0YqP8rsfu5tMoL6+O/Y8pAv+/IXyItJ0z6gs13EazB/2t9+c/iZJxpgI1R7MTLfWvuE6D+DvvFmk+2Q47Q0AQlswHYNt3HlIn329WxOHZ1IoBYj+aYkalNFKL87PVXWN/51FAXirYF+p3l+9XWOHpYdUoRTIurVrobO6ttHLC3JVUXWqRUNQn9+USqZ25bJ/SFpnrX3CdR4glEy/Y7jrCAAAR4LtGGzy/FxFhXs0PjvDdRR44bYzOyl/X6k+/mqn6yhAo704P1ceYzRpRKbrKPDCbWd20q5D5Xp3dZHrKAHFb0olSSMlTZB0jjFmZd3HJa5DAcFufHa66wgAALeC5hisuLRCb67YpqsHpCgpLtJ1HHjhgl7tlNoqRpPnbXUdBWiUkvIq/XNpgS7p20EdEmJcx4EXzu6WrKy28frHvK3yx7Wn/ZXflErW2nnWWmOt7Wet7V/38Z7rXECw++1VfV1HAAA4FEzHYDMWF6isskaTRma6jgIvhYd5NGlEphbn7tPqbQdcxwFO2+vLtulQeZVu4X0o4BhjdMvITK0pPKjFW/e5jhMw/KZUAtD8mFICAASLquoaTV2YqxFdWqtHe65mGojGDElTfFS4/jFvi+sowGmpqbF6aUGuzkhL1ID0Vq7j4DRcMyBVibER+gdTkw1GqQSEMKaUAADB4qOvdqroQBlrmASwFtERumFwmv715XbtOFDmOg7gtc837tbWPYd1K1NKASsmMkzjhqXr43U7lb+31HWcgECpBIQoppQAAMHkxflblZYUo3N7tnMdBY1wy8hM1Virlxfmuo4CeO3F+blq2yJKF/fp4DoKGmHi8EyFe4xeXMC0UkNQKgEhiiklAECwWFN4QEty9+vm4ZkK8xjXcdAIaUmxuqBXe81YnK+yymrXcYAG27SrRF9s2K3x2RmKDOfH7EDWrmW0LuvXUbOWFOhgWaXrOH6PVzsQgphSAgAEkxfn5yo2Mkw3DElzHQU+cPOITBWXVurtlVzWG4Hj5QW5igzzaOwwjrODwa0jO+lwRbVeX7bNdRS/R6kEhCCmlAAAwWL3oXK9s6pI1w1KVcvoCNdx4APZnZPUvV0LvbQgl8t6IyAcOFKp15dv0xX9O6pNfJTrOPCBvqkJGpieqCkL81RTw/vQyVAqASEmLjLMdQQAAHzmlUX5qqiu0c0s0B00jDG6eUSmvtp+UEvz9ruOA5zSrCUFKq2o5kIBQebmEZnauuew5m7a4zqKX6NUAkLMo1czpQQACA4VVTWatihPo7onq0tyvOs48KGrBnRUy+hwvbQg13UU4KSqa2oXlh+amaQ+KQmu48CHLu7TQW3io/Qy70MnRakEhJirBqS4jgAAgE+8t3q7dh8q1y0jO7mOAh+LjQzXDYPT9OGaHdpxoMx1HOCEPlm3U9v2H9GkkZmuo8DHIsNr18j67Otdytt72HUcv0WpBISQ2Ai+5QEAwcFaqxfnb1Xn5DidldXGdRw0gYnDM1VtrV5ZlOc6CnBCL87fqpTEGF3Qq53rKGgC44alK8wYTV3I+9CJ8BMmEEJ+d00/1xEAAPCJFQXFWrXtgG4ZkSmPx7iOgyaQ3jpW53Rvq1cW56u8qtp1HOBb1m0/qJwt+zRheIbCw/jROhi1axmti/q016ylBSqtqHIdxy/xygdCCKe+AQCCxZQFuWoRFa5rBqa6joImdPOITO0pqdD7q3e4jgJ8y5SFuYoK9+jGIWmuo6AJTRqRqYNlVZq9osh1FL9EqQSECH6JCwAIFntKyvXe6h26dlCq4qLCXcdBEzozq406t4ljwW74nQNHKjV7RZGu7N9RibGRruOgCQ3KaKVeHVrq5QW5sta6juN3KJWAADV7RaFX9x87LL2JkgAA0LxmLS1QRXWNxmdnuI6CJubxGE0cnqGVBcVaVVDsOg7wjdeXbdORympNHJ7pOgqamDFGk0Zk6uudh5SzZZ/rOH6HUgkIUI+8s9ar+//2qr5NlAQAgOZTXWM1PSdfI7q0VlbbeNdx0AyuHZSquMgwLusNv2Gt1bScPPVPS1SflATXcdAMrujfUYmxEZqyMNd1FL9DqQQEqP2lla4jAADQ7D5bv0uFxUc0gSmlkNEiOkLXDUrVv77crj0l5a7jAJq/aa+27DmsicN5HwoV0RFhGjMkTR99tVNFxUdcx/ErlEpACGA5JQBAsJiak6d2LaN0HpfvDikThmeqorpGMxfnu44CaGpOrpLiInVJ3w6uo6AZjR+WIWutpi/Kcx3Fr1AqASFgXDbrKQEAAl/e3sP6fMNujR2aoQgu3x1SstrG66yubTQtJ1+V1TWu4yCEFRUf0cdf7dQNg9MUHRHmOg6aUVpSrM7t2U4zFheorLLadRy/wb/GQAhgPSUAQDCYlpOncI/RjUO5fHcounl4pnYcLNPHX+10HQUhbMbifFlJ47gITki6eXim9h2u0L++3O46it+gVAIAAIDfK6us1qyl23Rh7/Zq1zLadRw4MLpHW6UkxmhaDqeewI2KqhrNWFygc7q3VVpSrOs4cGBkVmt1SY7TVN6HvkGpBAQ5w4JKAIAg8M6qIh04UqkJLIwbssI8RmOHpWvB5r3atKvEdRyEoA/W7tCeknKN530oZBljNCE7Q6sKivXltmLXcfwCpRIQ5BjNBQAEg6k5eeraNl7DOiW5jgKHxgxJU0SYYaFcODFtYZ7Sk2J1dtdk11Hg0DWDUhUTEcbUZB1KJSDIsZ4SACDQ1f5G+IAmDM+QYQQ3pLWJj9LFfTrotWXbVFpR5ToOQsj6HQe1OHefxmeny+PhfSiUtYyO0FUDOurtVUU6UFrpOo5zlEoAAADwa1Nz8hQXGaarB6S4jgI/MGF4hg6VVentlUWuoyCETF2Yp6hwj64fxIUCII0blqGyyhq9tnyb6yjOUSoBAADAb+0/XKF3VhXp6oEpahEd4ToO/MDgjFbq0b6FpubkyVrrOg5CwMGySr25olCXn9FRreIiXceBH+iTkqAB6YmazvsQpRIQzBjMBQAEun8uK1B5VY3GZ7MwLmoZYzQuO0Nriw5qZQEL5aLpvbm8UKUV1ZrIAt2oZ0J2hrbsOawFm/e6juIUpRIQxMZls0g3ACBw1dRYTcvJ19DMJPVo39J1HPiRqwekKC4yjMt6o8lZazU1J09npCaoX2qi6zjwI5f07aBWsRGaujC034colYAgxiLdAIBA9vnG3crfV6oJTAfgGPFR4bpmYKr+9eV27T9c4ToOgtjCLXu1aVcJ05L4luiIMN0wOE0fr9upHQfKXMdxhlIJAAAAfmnawjy1iY/Shb3bu44CPzQ+O0MVVTX657IC11EQxKYuzFNibIQuP6Oj6yjwQ2OHpavGWs1YnO86ijOUSgAAAPA7BftK9enXu3TT0DRFhnPIim/r3r6FhmYmafqifNXUhPZCuWgaOw6U6aOvduqGwWmKjghzHQd+KKN1nL7TNVkzFuersrrGdRwn+BcaAAAAfmf6onx5jNHYYawPiBMbPzxDeXtLNXfTHtdREIReWZyvGms1jvchnMSE7AztOlSuT77a6TqKE5RKQJBKjOGyywCAwFRWWa1ZSwt0Xs+26pAQ4zoO/NhFvdurTXxkyC+UC9+rrK7RjMX5OrtbsjJax7mOAz82ukdbpSTGhOyFAyiVgCD18BW9XUcAAOC0vL9mu/YdrtCE7EzXUeDnIsM9GjMkTZ+u36nC4iOu4yCIfLh2h3YfKtdELhSAUwjz1E7VLthcu6h7qKFUAoLUVQNSXEcAAOC0TFmYp85t4jSiS2vXURAAbhpae2rSjEWhu1AufG/qwjyltorR2d3auo6CAHDD4DRFhBlNXxR600qUSgAAAPAbuQeqtSK/WOOzM+TxGNdxEABSW8XqnB5tNXNJviqqQnOhXPjWhp2HtGjrPo0blqEw3ofQAMktonRRnw56bdk2lVZUuY7TrCiVAAAA4Dc+LahSdIRH1w5KdR0FAWR8dob2lFTog7U7XEdBEJiWk/fNqZVAQ03IztChsiq9s6rIdZRm5VelkjHmImPM18aYTcaYn7vOAwAAEAr85RjsQGmlcoqqdFX/FCVwwQl44Ttdk5WeFKtpIbpQLnzncHmV3lheqMv6dlBSXKTrOAggQzJbqXu7Fpqakydrres4zabBpZIx5mljzIimCmKMCZP0jKSLJfWSdJMxpldTbQ8IZgzpAkDwCKVjsNeWb1NFjTSBhXHhJY/HaNywdC3euk9f7zjkOg4C2OyVhSopr9K4bN6H4B1jjMZnp2tN4UGt2nbAdZxm482k0kZJfzLG5Bpj/mCM6e/jLEMlbbLWbrHWVkiaKelKH28DCAnjstNdRwAA+E5IHIPV1FhNy8lTVqJHvTsmNPfmEQSuH5ymyHAP00o4bdZaTV2Yp14dWmpgeqLrOAhAVw1IUVxkmKYuDJ33IePtWJYxJkPSjXUf0ZJmSJpprd3QqCDGXCfpImvt7XV/niBpmLX2+8fc705Jd0pSu3btBs2cObMxm0UjlJSUKD4+3nWMkLW68D/td7sYaWe9q+j2TeFg3BW+L/wHz4X/aMxzMXr06GXW2sE+jhSQgv0YrKrG6ottVYpTuYal873bXILtvfL5L8u1fGeV/jw6VjHh/jm7HWz73N95s7837q/Wo4vKNKl3pEalcQru6eD1LU1ZW64vCqv05KhYxUc27ftQU+7vhh6DhXv7wNbaPEl/kPQHY8wASZMl/VpSmNcp/9vx9va3Gi9r7fOSnpekwYMH21GjRjVyszhdc+bMEfvfnUk/f/eb/7+/b5X+tPo/386540Y5SASJ7wt/wnPhP3gufCMUjsHOE6+X5hZs+7tl5/265tkF2hvfWeP99PSlYNvn/s6b/f3mzBVqEbVLPx0zWrGRXv+oDPH6lqT2PQ7q0yfnant0hu74Tucm3ZY/7G+vF+o2xkQYYy43xkyX9L6kDZKu9UGWbZLqL6+fKim0lk0HAAA4AY7BgFMbkJao3h1balqILZSLxttTUq73V+/QtYNSKZTQKD3at9SQzFaatihPNTXB/z7kzULd5xtjJqv2wONOSe9J6mKtHWOtne2DLEskdTXGdDLGRKp2tPttHzwuAABAwOIYDGi42oVyM7R+xyEty9vvOg4CyKylBaqortF41iaFD4zPzlDe3lLN3bTHdZQm582k0gOSFkrqaa293Fo73Vp72FdBrLVVkr4v6UNJ6yTNstau9dXjA8HkodmrXUcAADQfjsEAL1zZv6NaRIVrSggtlIvGqa6xmp6Tr+GdWyurbQvXcRAELurTXq3jIkPiwgENnuuz1o5uyiB123hPtb99A3AS03LyXUcAADQTjsEA78RGhuvaQamavihPe0p6qU18lOtI8HNzvt6lwuIjeuCSnq6jIEhEhYdpzJA0Pff5ZhUWH1FKYozrSE3G6zWVAAAAAMCfjc/OUGW11atLClxHQQCYlpOn5BZRuqB3O9dREERuGpouK2nGouAeCKBUAgAAABBUstrGa2RWa03PyVNVdY3rOPBj+XtLNWfDbt00NF0RYfx4DN9JS4rVOd3bauaSAlVUBe/7EN81AAAAAILOhOxMFR0o06frd7mOAj82fXGePMbopqFpp74z4KUJwzNqryy4ZrvrKE2GUgkIMokxEa4jAAAAOHdez7bqkBCtqSGwUC5OT1lltWYtKah7rQTvmjdw5ztdk5XZOlZTg/jCAZRKQJB5+IreriMAAAA4Fx7m0dih6Zq7cY+27C5xHQd+6P0127W/tFITsjNdR0GQ8niMxmdnaGnefn1VdNB1nCZBqQQEmasGpLiOAAAA4BfGDE1TRJjhyrk4rqkL89SpTZxGdGntOgqC2HWDUhUV7tHUnFzXUZoEpRIQYB6avdp1BAAAgIDQtkW0LurTQf9cVqDSiirXceBH1hYd0PL8Yo0bli6Px7iOgyCWGBupK/t31OwVRTpwpNJ1HJ+jVAICDL9pAwAAaLiJwzN0qKxKb60sch0FfmRaTr6iIzy6fhALdKPpTRyeqSOV1Xp92TbXUXyOUgkAAABA0Bqc0Uo92rfQ1IV5sta6jgM/cLCsUrNXFOqKMzoqIZaL3KDp9UlJ0ID0RE3LyVNNTXC9D1EqAQAAAAhaxhhNHJ6pr7Yf1PL8/a7jwA+8sWybjlRWa3x2husoCCETh2doy57Dmr95j+soPkWpBAAAACCoXdm/o1pEhWtKEF/WGw1jrdW0Rfk6IzVB/VITXcdBCLmkbwe1josMuvchSiUAAAAAQS0uKlzXDkrVe6u3a/ehctdx4FDOln3atKuEKSU0u6jwMI0ZkqZ/r9upwuIjruP4DKUSAAAAgKA3YXiGKqutZi0tcB0FDk3LyVNCTIQuP6Oj6ygIQWOHpUuSpucEz7QSpRIQQB6avdp1BAAAgIDUJTleI7Naa3pOnqqqa1zHgQO7Dpbpw7U7dP2gVEVHhLmOgxCU2ipW5/Rop1eXFKi8qtp1HJ+gVAICyPRF+a4jAAAABKwJ2ZkqOlCmf6/f5ToKHJi+KF9VNVbjOPUNDk0cnqG9hyv0/uodrqP4BKUSEEC4Ci4AAMDpO69nW3VIiNa0IDr1BA1TUVWjVxbn6+xuyerUJs51HISwM7PaqFObOG5H/UsAACAASURBVE1ZmOs6ik9QKgEAAAAICeFhHo0dmq65G/doy+4S13HQjN5fU7tI+6QRma6jIMR5PEbjszO0PL9YawoPuI7TaJRKQBBJjIlwHQEAAMCv3Tg0XRFhRlOZVgopLy/IVWbrWJ3dLdl1FEDXDUpVTESYpi4M/PchSiUgiDx8RW/XEQAAAPxacosoXdyng15btk2lFVWu46AZrN52QMvzizVheKY8HuM6DqCEmAhdNaCj3lpVqAOlla7jNAqlEhAgGnLlt6sGpDRDEgAAgMA2cXiGDpVV6a2VRa6joBm8vDBXsZFhum5QqusowDcmZGeqrLJG/1xW4DpKo1AqAQFiWg5XfgMAAPCFQRmt1KN9C01ZmCfLlVCC2sEKq7dXFenqASn6/+zdd3xb1f3/8fexhveI7cTOcuxMsgchk0DY0LILBQqUTWkpLaO0UCjly6+MFlpoSylllA2BMgJlh2FoIAmE7JC942wndrxtWef3h5TgJE5s2ZKubL+ej4cfkq6u5E/Ovb65euucc9OZKgIxZFC3NI3u1UnPz1wnv7/tHocIlQAAAAB0KMYY/Xh8vpZs3q0563c5XQ4i6PMNdar1+XUJE3QjBl08vpfWFlfqfyt3OF1KixEqAQAAAOhwzhzZTakJbj39ZdufKBeN89X79ckGnyb0yVL/nFSnywEOcPKQXGWnePXcjLVOl9JihEpAGzB1bpHTJQAAALQrSV63zhvdU+8t3KwtpdVOl4MI+GjJVu2stvRSQsyKd7t0wZg8fbx0m9YVVzhdTosQKgFtwG9fX+B0CQAAAO3OJRPy5bdWz81c63QpiICnv1yrrASj4wfmOF0KcFAXjesllzF6po32miRUAtqAyjq/0yUAAAC0Oz0zk3T8wBy9OGu9quvqnS4HYbR0y27NXL1Tx+a55YozTpcDHFROWoK+P6yrXpm9QWXVdU6XEzJCJQAAAAAd1mUTC7Srsk5vzmO6gfbk2RnrFO+O09E9uOIbYt9lEwtUXuPTq99sdLqUkBEqAe1EBpdIBQAACNm43pk6LDdVT32xVta23ct64zullXV6Y06RzhjRTSleeikh9o3omaGReRl65su18vvb1nGIUAmIcbdPXdis9e48fXCEKwEAAGh/jDG6fGKBlm4p04zVxU6XgzD4zzcbVFVXzwTdaFMun1igtcWV+nTZNqdLCQmhEhDjnp+5vlnrnTmye4QrAQAAaJ9OH9FNmclePfXFWqdLQSvV+62embFWR+R30uBu6U6XAzTbyUNylZuW0OaOQ4RKAAAAADq0BI9LPxqTp4+WbNX64kqny0ErTPt2izbsrNLlEwucLgUIiccVp4vH99L0lTu0bEuZ0+U0G6ESEMOaO/QNAAAArbP3st4z1jpdClrhyelr1KNTok4cnOt0KUDIfjQmT/HuOD395RqnS2k2QiUghjV36BsAAABaJzc9QacM7apXvt6g8hqf0+WgBRZsLNHXa3fpsokFcsUxQTfank7JXp09qrten1OkXRW1TpfTLIRKAAAAACDpson5Kqvx6bU2eFlvBHoppcS79cPRPZwuBWixSycUqMbn14tftY0OBoRKQIxi6BsAAEB0jcrrpOE9M/R0G7ysd0e3ubRK7yzYrPOO6KnUBI/T5QAtNiA3VRP7Zum5GetUV+93upwmESoBMSqUoW9eF3/KAAAA4XD5xHyt2VGhz5Zvd7oUhOCZL9fJb60unZDvdClAq10+sUBbdlfr/UVbnC6lSTHxSdQYc78xZqkxZoEx5g1jTIbTNQFOmjq3KKT1c9ITIlQJAKA94xwMONApQ7oqJy1eT0xf7XQpaKaKGp9enLVOJw/JVc/MJKfLAVrtmAFdlJ+VpH9/EfsTdsdEqCRpmqQh1tphkpZLutXhegBH3fr6gpDWz0ikiy8AoEU4BwP243XH6bKJBfpiZbEWFZU6XQ6a4bU5G7W72qcrjixwuhQgLOLijC6bWKC560v0zbqdTpdzSDERKllrP7TW7rnEwkxJzKyGDq2qLvbHzgIA2j7OwYDGXTAmT8lelx7/H72VYp3fb/XUF2s1vGeGRuV1crocIGzOHd1DGUke/euz2D4OGWtjawI6Y8x/Jb1srX3+IM9fLelqScrJyTl8ypQp0SwPDZSXlyslJcXpMtqdTSVVKg7x8pEF6S62RYzg7yJ2sC1iR2u2xTHHHPONtXZ0mEtCI2LlHIy/3eiivQ/upaU1mrbOpz8dlajsxPB9F0+bh9fcbT79dU6Nfjo8XmO7ug94nvaOLto7vF5bUau3V9Xp3kmJyk0+8DgUyfZu7jlY1EIlY8xHknIbeeo2a+2bwXVukzRa0tm2GYWNHj3azp49O7yFotkKCws1efJkp8tod/JveSek9TMSPXroaC/bIkbwdxE72BaxozXbwhhDqNRKbe0cjL/d6KK9D25TSZWO+tOnumRCvn536qCwvS9tHl7nPzZD64sr9fmvj5G7kYvX0N7RRXuH1/ayGk384yf6wageuvfsoQc8H8n2bu452IFRboRYa48/1PPGmEsknSrpuOaczADt0e1TF4b8mjtPHyyVrohANQCA9oBzMKBlumUk6tRhXTXlq/X6xXH9lM4cljFn/oYSzVy9U7d9b2CjgRLQ1nVOjdcPRvXQa3M26sYT+qtzarzTJR0gJv7yjDEnS/qNpNOttZVO1wM45fmZ60N+zZkju0egEgBAR8A5GHBoVx3VWxW19XpxVujnaIi8Rz9bpdQEty4Ym+d0KUDEXDWpQHX1fj07Y63TpTQqJkIlSQ9LSpU0zRgzzxjzqNMFAdHWkl5KAAC0EudgwCEM7pauI/tm66kv1qjGV+90OWhg9fZyvb94iy4e10sp8VEbgANEXe/OKTphYI6em7lOlbW+pl8QZTERKllr+1pre1prRwR/rnG6JiDaWtJLKYNu2ACAVuAcDGja1Uf11rayGr05b5PTpaCBx/+3Wh5XnC6bWOB0KUDE/eTo3iqprNMrX29wupQDxESoBHR0Le2ldOfpg8NcCQAAABqa1C9bh+Wm6vHPV4tpx2LDtt3Veu2bIp1zeI+YnGMGCLfDe2VqVF6GnvxijXz1fqfL2QehEhADWtJLSWI+JQAAgEgzxujqo3prxbZyFS7b7nQ5kPTUl2vl8/t19aTeTpcCRM3VR/XRhp1Ven/xFqdL2QehEuCwCx+f4XQJAAAAOITThndT1/QE/fOzVU6X0uGVVdfp+ZnrdMqQrsrPTna6HCBqThiUo4LsZD0WY70mCZUAB02dW6QvVu1s0WuZTwkAACA6PK44XTWpt75as1NfrWnZuRvC48VZ61VW7dNPjqaXEjoWV5zRVZN6a8HGUn2xstjpcvYiVAIcdOPL81r8WuZTAgAAiJ4LxuQpK9mrhz9d6XQpHVaNr15PTl+jCX2yNKxHhtPlAFH3g8O7KyctXv+IoeMQoRLgkAsfn6HWTLHGfEoAAADRk+h16YpJBfp8+XYt2FjidDkd0htzirStrEbXHN3H6VIAR8S7XbpqUm/NWF2sb9btcrocSYRKgCNaM+xNYugbAACAEy4e10tpCe6Y6iXQUfjq/XqkcJWGdk/XpH7ZTpcDOOaCMXnqlOTRIzFyHCJUAhxw839aPuxNYugbAACAE1ITPLp0YoE+WLxVy7aUOV1Oh/LmvE1av7NS1x3bV8YYp8sBHJMc79ZlEwv08dJtWr+73ulyCJWAaLt96kLVtWbcmxj6BgAA4JTLJuQryevSI4Wx0UugI6j3W/3j05Ua2DVNJwzKcbocwHGXjM9XSrxb76yuc7oUQiUgmm6fulDPz1x/yHXimvjihaFvAAAAzumU7NXF43rpv/M3ae2OCqfL6RDeXrBJq3dU6Bf0UgIkSelJHv10ch91S4mTtdbRWgiVgCiZOreoyUBJktxNpEoMfQMAAHDWFZMK5HbF6dHPVjldSrvn91s9/MlK9c9J0UmDc50uB4gZ1x7TV2f09ToetBIqAVFy6+sLmlynX5dk1dYfOmlm6BsAAICzuqQm6IIjeuq1ORtVVFLldDnt2vuLt2jFtnL9/Nh+imuqSz+AqCNUAqLg9qkLVdXEREoT+2RqU0n1Ide5aFxeOMsCAABAC/3k6D4yMnr4E+ZWihS/3+pvH69Q787J+v7Qrk6XA6ARhEpABE2dW6TBd7zf5LC3i8bl6dzReaqoPfjs/Z446Q9nDg13iQAAAGiBbhmJumBMT/1n9gatL650upx26aMlW7V0S5muO7avXPRSAmISoRIQIbdPXajrX553yKBIkpK9Lv3hzKG67Y2Fh1zv/nNHhLM8AAAAtNK1xwTCjr9+vMLpUtodv9/qwY9WKD8rSacN6+Z0OQAOglAJiIDmXOVtj7vPGqqpc4sOGT4leuKYSwkAACDGdElL0MXjeumNuRu1anu50+W0K+8s3Kwlm3frhhP6y+3iYysQq/jrBMIslEDponF5OnNkd/3mtUNP4n3v2cPCURoAAADC7JrJfZTgcemhj+itFC6+er8enLZch+Wm0ksJiHGESkAYhRoo/eHMobrw8Rmq8R18Em96KQEAAMSu7JR4XTohX28v2KSlW3Y7XU678PqcIq3eUaEbT+jPFd+AGEeoBIRJSwKlqXOL9MWqnYdcl15KAAAAse3qo3orxevWg9OWO11Km1fjq9dfP16h4T0zdMKgHKfLAdAEt9MFAG3d1LlFuu2NhU1OyC0Feh3de/awvT2Pmpqcm15KAAAAsS8jyasrJhXooY9WaOHGUg3tke50SW3WS7PWq6ikSn/8wTAZQy8lINbRUwloheZe4U0K9E5a8v9O2RsS3T616SCKXkoAAABtw+VHFqhTkkf3vb9E1lqny2mTKmt9evjTlRrfO0sT+2Y5XQ6AZiBUAlqoJcPd9pg6t6jJ107sk0kvJQAAgDYiLcGjXxzXT1+sLFbh8u1Ol9MmPfG/NdpRXqtfnTSAXkpAG0GoBLRAawOlG16ed8jXeOKkF64a36oaAQAAEF0Xju2l/Kwk3fvuEvnqD34hFhxo2+5qPfrZKp0yJFeH9+rkdDkAmolQCQhRawOlG1+Zp6Y6RN9/7ohWVAgAAAAneN1x+vXJh2n51nK9+s1Gp8tpU/4ybbnq6v265ZTDnC4FQAiYqBtohqlzi/R//12sXZV1zX7N/oGSFJiY299EonTRuDyGvQEAALRRpwzJ1ai8DP1l2nKdPqKbkrx85GrK0i279crsDbpsYoF6ZSU7XQ6AENBTCWjCnsm4mxsoJXri9NB5Iw4IlJozMXeiJ+6A1wEAAKDtMMbotu8P1LayGj3++Rqny2kT7n5niVITPLru2L5OlwIgRIRKwCGEMtRNOvAKb6G+D1d7AwAAaPsO75WpU4bk6l+fr9LW3dVOlxPTCpdt0/9W7NAvjuunjCSv0+UACBGhEtCIqXOLNPKuD0MOlBrrZdTcQIlhbwAAAO3HLaccJl+91X3vLXW6lJjlq/frnneXKD8rSReP6+V0OQBagAG+QANT5xbptjeaHqbWkJF0YRgCJYa9AQAAtB+9spJ19VG99fCnK/WjsXk6Ij/T6ZJizrMz1mn51nI9etHh8rrp7wC0RYRKgFo2EbckZSR6dOfpgw/oYTR1bpFufX2BquqavpQsgRIAAED79LNj+uj1ORt1x5uL9fZ1R8oVZ5wuKWZs212tB6ct19H9O+ukwTlOlwOghQiV0OHdPnWhXpi5Xk1clG0fiZ443Xv2sEaHq02dW6QbX5nX5FXe9rwPgRIAAED7lOR167bvD9K1L87Ri7PW6eLx+U6XFDPufW+panx+3Xn6YBlD2Aa0VYRK6JCmzi3S/R8sU1FJVUivO9RQtz1ue2NhswKlOMPE3AAAAO3d94bmakKfLD3w4XJ9f1g3p8uJCbNWF+uNuUW67ti+KshOdrocAK3AwFV0OLdPXagbXp4XcqCUkejRg+eNOGigNHVukQb+7r1mzceU7HXpLz8cwcTcAAAA7ZwxRneePlgVNT7d/c4Sp8txXF29X3e8uVjdMxL1s8l9nS4HQCvRUwkdQkvnTNqjqXmPmjshd3PeCwAAAO1L/5xUXXN0Hz386UoVjE7QZKcLctBjn6/Wsq1leuziw5XodTldDoBWIlRCuxdK4LO/g03EvUcoE3JLBEoAAAAd1c+P7at3F27WM4srdfnpPiV5O95HsZXbyvXXj1folCG5OnFwrtPlAAiDmDuSGWN+Jel+SZ2ttTucrgdtU6R7Jkmhh1UESgAAAB1Xgsele88eqvMem6kHpy3Xbd8f5HRJUeX3W93y2gIlelz6vzMGO10OgDCJqVDJGNNT0gmSWtatBB1ea8Ok5kzEHWrvJIlACQAQ2/hSD4iOsb2zNLmnW09OX6PThnfTsB4ZTpcUNc/OWKvZ63bpz+cOV5fUBKfLARAmMRUqSXpQ0q8lvel0IWg7Wnolt/11z0jUzScNOOTk2S0ZSkegBACIZXypB0TXD/t7taTUpZtema//XnekEjztf16hDTsr9acPluno/p119iguVAO0JzETKhljTpdUZK2db4w51HpXS7paknJyclRYWBidAnGA8vJyx9t/U0mViitqdX5PST1Df70rzqhbRqIyEj2BBaUrVFi4Yp91SqrqtLW0WrX1fuVIuqmZ+VCcMereKVEZicURb6dY2BYIYFvEDrZF7GBbxDy+1AOiKMljdP85w/Xjf3+l+95bqjtPb99Dwer9Vjf9Z77ijNE9Zw/VoT7rAWh7jLU2er/MmI8kNTYj222SfivpRGttqTFmraTRTXW/Hj16tJ09e3b4C0WzFBYWavLkyVH/va0d4iZJiZ443Xv2sEP2SpICPZNemLleof6VRLt3klPbAgdiW8QOtkXsaM22MMZ8Y60dHd6KsEfwS73jrLW/bOr8a78v9g6fMmVKRGoqLy9XSkpKRN4bB6K9o29Pmz//bY0+Wu/Tr0bHa0h2zHzXH3Zvr6rVqyvqdNVQryZ290T997OPRxftHV2RbO9jjjmmWedgUT16WWuPb2y5MWaopAJJe3op9ZA0xxgzxlq7JYolIoaFI0xq6mpuDX9XqPMmSVKy16W7zxra5PsDABAtzflSrznvY619TNJjUuCLvUiFtgTC0UV7R9+eNh83sV6n/n26nl1Wpw9OmaBOyV6nSwu7+RtKNPXDL3XqsK767QUjHemlxD4eXbR3dMVCe8dEJG6tXSipy57Hze2phPYvXPMlRTpMkpg7CQAQm/hSD4hNCR6XHjpvhM565Avd8voCPXrR4e1qaFhFjU/XvzxPXVLjdfeZDHsD2quYCJWAhsIVJDXnSm4Nf+edby1WSVXovaDonQQAaIv4Ug9w3pDu6br5pAG6592lenL6Gl05qbfTJYWFtVa3vL5Q64or9MKV45SeFP1hbwCiIyZDJWttvtM1ILrCFSTt0Zwrue35vS3tmRRKaAUAAAA05qpJvTV77S7d995SjeiZodH5mU6X1GpPf7lW/52/STefNEDj+2Q5XQ6ACIrJUAkdQ7iDpFCGuLX29zY3tAIAoK3gSz3AGcYY3X/ucJ3+8HRd++IcvfOLScpOiXe6rBb7Zt1O3f3OEh0/MEc/PbqP0+UAiDBCJTiipVdVa0w05kvag3mTAAAAEG7piR7988LDddYjX+ia577RC1eNVbzb5XRZIdtcWqWfvTBH3Tsl6s8/HK64OOZRAto7QiVETTiu3rZHc4eetWaupIaYNwkAAACRNKhbmv78w+H6+Ytz9ZtXF+jB80a0qcmty2t8uvzp2aqoqdczl49ReiLzKAEdAaESIiacIVJDTQ09C+ewuk5JHv3+tKZ7QQEAAACtdeqwblpXXKn7P1im/OxkXX98f6dLahZfvV/XvThHy7eW6d+XHqHDctOcLglAlBAqIazaQ5AkMcwNAAAAzvjZ5D5as6NCD320Ql3TE3TeEXlOl3RI1lrd8dZifbpsu+45a6iO7t/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\n",
      "text/plain": [
       "<Figure size 1440x720 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "t = T\n",
    "R = x\n",
    "plt.figure(figsize=(20,10))\n",
    "    \n",
    "plt.subplot(221)\n",
    "plt.scatter(I, V)\n",
    "plt.grid(True)\n",
    "plt.title('I-V')\n",
    "plt.xlabel('I'); plt.ylabel('V')\n",
    "\n",
    "plt.subplot(222)\n",
    "plt.plot(t, V)\n",
    "plt.grid(True)\n",
    "plt.title('V-t')\n",
    "plt.xlabel('t'); plt.ylabel('V')\n",
    "\n",
    "plt.subplot(223)\n",
    "plt.plot(I, t)\n",
    "plt.grid(True)\n",
    "plt.title('I-t')\n",
    "plt.xlabel('I'); plt.ylabel('t')\n",
    "\n",
    "plt.subplot(224)\n",
    "plt.plot(t, R)\n",
    "plt.grid(True)\n",
    "plt.title('x-t')\n",
    "plt.xlabel('t'); plt.ylabel('R')\n",
    "\n",
    "#plt.savefig('Memrister')\n",
    "plt.suptitle('Memrister: V = 5*sin(t/10)')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# See derivative function"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 136,
   "metadata": {},
   "outputs": [],
   "source": [
    "Vp=1.5; Vn=0.7\n",
    "Ap=0.032; An=0.001\n",
    "xp=0.1; xn=0.2\n",
    "ap=6; an=4\n",
    "\n",
    "def g1(V):\n",
    "    return Ap * (np.exp(V) - np.exp(Vp))\n",
    "def g2(V):\n",
    "    return -An * (np.exp(-V) - np.exp(Vn))\n",
    "    # Eq(8)\n",
    "def f1(x):\n",
    "    y = [];\n",
    "    for i in range(x.shape[0]):\n",
    "        if x[i] < xp:\n",
    "            y.append(1)\n",
    "        else:\n",
    "            y.append(np.exp(ap * (x[i] - xp)) * ((xp - x[i])/(1 - xp) + 1))\n",
    "    return y\n",
    "def f2(x):\n",
    "    y = [];\n",
    "    for i in range(x.shape[0]):\n",
    "        if x[i] > (1 - xn):\n",
    "            y.append(1)\n",
    "        else:\n",
    "            y.append(np.exp(an * (x[i] + xn - 1)) * (x[i]/(1 - xn)))\n",
    "    return y"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 137,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x720 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "n = 100\n",
    "V1 = np.linspace(Vp, Vp*5, n)\n",
    "V2 = np.linspace(-5*Vn, Vn, n)\n",
    "V3 = np.linspace(0, 0, n)\n",
    "\n",
    "x1 = np.linspace(-1, 1.1, n)\n",
    "x2= np.linspace(-5, 5, n)\n",
    "\n",
    "plt.figure(figsize=(20,10))\n",
    "    \n",
    "plt.subplot(221)\n",
    "plt.plot(V1, g1(V1))\n",
    "plt.grid(True)\n",
    "plt.title('g1(V), V(t) > Vp')\n",
    "plt.xlabel('V'); plt.ylabel('G1')\n",
    "\n",
    "plt.subplot(222)\n",
    "plt.plot(V2, g2(V2))\n",
    "plt.grid(True)\n",
    "plt.title('g2(V), V(t) < -Vn')\n",
    "plt.xlabel('V'); plt.ylabel('G2')\n",
    "\n",
    "plt.subplot(223)\n",
    "plt.plot(x1, f1(x1))\n",
    "plt.grid(True)\n",
    "plt.title('f1(x), V(t) > 0')\n",
    "plt.xlabel('x'); plt.ylabel('f1')\n",
    "\n",
    "plt.subplot(224)\n",
    "plt.plot(x2, f2(x2))\n",
    "plt.grid(True)\n",
    "plt.title('f2(x), V(t) < 0')\n",
    "plt.xlabel('x'); plt.ylabel('f2')\n",
    "\n",
    "#plt.savefig('Memrister')\n",
    "plt.suptitle('Memrister: g(V), x(t)')\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 138,
   "metadata": {},
   "outputs": [],
   "source": [
    "device = []\n",
    "for i in range(3 * 3): # 3 rows, 3 cols\n",
    "    device.append(Memristor())\n",
    "    # how can I train?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "필요한 것\n",
    "- memrister model에 따른 식의 변화 -> 어떤 모델이 있는지 살펴봐야함\n",
    "- 이는 모델에 따라서 그래프의 개형이 차이가 날 수 있기 때문\n",
    "- training 방법에 대한 탐색"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Appendix"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# what is faster?\n",
    "init = time.time()\n",
    "n = 1000000;\n",
    "V = np.linspace(-n, n, n)\n",
    "a = [-1, 1]\n",
    "for i in range(n):\n",
    "    temp = a[int(V[i] > 0)]\n",
    "print('1st end time = %.2f'%(time.time() - init))\n",
    "\n",
    "init = time.time()\n",
    "for i in range(n):\n",
    "    if V[i] > 0:\n",
    "        temp = a[0]\n",
    "    else:\n",
    "        temp = a[1]\n",
    "print('2nd end time = %.2f'%(time.time() - init))"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python [conda env:Anaconda3]",
   "language": "python",
   "name": "conda-env-Anaconda3-py"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
